Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/103468
Type: Artigo de periódico
Title: A Comment On A Nonideal Centrifugal Vibrator Machine Behavior With Soft And Hard Springs
Author: Dantas M.J.H.
Balthazar J.M.
Abstract: This paper concerns a type of rotating machine (centrifugal vibrator), which is supported on a nonlinear spring. This is a nonideal kind of mechanical system. The goal of the present work is to show the striking differences between the cases where we take into account soft and hard spring types. For soft spring, we prove the existence of homoclinic chaos. By using the Melnikov's Method, we show the existence of an interval with the following property: if a certain parameter belongs to this interval, then we have chaotic behavior; otherwise, this does not happen. Furthermore, if we use an appropriate damping coefficient, the chaotic behavior can be avoided. For hard spring, we prove the existence of Hopf's Bifurcation, by using reduction to Center Manifolds and the Bezout Theorem (a classical result about algebraic plane curves). © World Scientific Publishing Company.
Editor: 
Rights: fechado
Identifier DOI: 10.1142/S0218127406015349
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-33745317597&partnerID=40&md5=5d9e4eae9e9b76a9d1fded5668c3c7e9
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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